Iitaka’s fibrations via multiplier ideals
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Abstract:
We give a new characterization of Iitaka’s fibration of algebraic varieties associated to line bundles. Introducing an “intersection number” of line bundles and curves by using the notion of multiplier ideal sheaves, Iitaka’s fibration can be regarded as a “numerically trivial fibration” in terms of this intersection theory.References
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Additional Information
- Shigeharu Takayama
- Affiliation: Graduate School of Mathematics, Kyushu University, Hakozaki, Higashi-ku, Fukuoka, 812-8581, Japan
- Email: taka@math.kyushu-u.ac.jp
- Received by editor(s): December 5, 2001
- Received by editor(s) in revised form: January 28, 2002
- Published electronically: June 24, 2002
- © Copyright 2002 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 355 (2003), 37-47
- MSC (2000): Primary 14E05; Secondary 14D06, 14C20
- DOI: https://doi.org/10.1090/S0002-9947-02-03068-4
- MathSciNet review: 1928076
Dedicated: Dedicated to Professor Shigeru Iitaka on his sixtieth birthday